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Finding the Fourth Proportional to 54,703.29, 81,967.44 and 49,454.49

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Solution

The fourth proportional to 54,703.29, 81,967.44 and 49,454.49 is: 74,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.29 : 81,967.44 = 49,454.49 : x
  2. Step 2: Convert to fraction form
    54,703.29/81,967.44 = 49,454.49/x
  3. Step 3: Cross multiply
    54,703.29x = 81,967.44 × 49,454.49
  4. Step 4: Simplify right side
    54,703.29x = 4,053,657,941.81
  5. Step 5: Solve for x
    x = 4,053,657,941.81/54,703.29
  6. Step 6: Final answer
    x = 74,102.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.